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As we can see f(x) = sin2x and f(-x) = sin2(-x) = (sin (-x))2 = (-sin x)2 = sin2x.
i.e. f(x) = f(-x)
so, sin2x is an even function.
It is also known that if f(x) is an even function then,
Show that if f and g are defined as and
The value of